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» The Distinguishing Chromatic Number
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DAM
2010
116views more  DAM 2010»
13 years 10 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
JGT
2008
69views more  JGT 2008»
13 years 9 months ago
List colorings with measurable sets
The measurable list chromatic number of a graph G is the smallest number such that if each vertex v of G is assigned a set L(v) of measure in a fixed atomless measure space, the...
Jan Hladký, Daniel Král, Jean-S&eacu...
STOC
1994
ACM
95views Algorithms» more  STOC 1994»
14 years 1 months ago
Improved non-approximability results
We indicate strong non-approximability factors for central problems: N1/4 for Max Clique; N1/10 for Chromatic Number; and 66/65 for Max 3SAT. Underlying the Max Clique result is a...
Mihir Bellare, Madhu Sudan
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 10 months ago
The Plane-Width of Graphs
Map vertices of a graph to (not necessarily distinct) points of the plane so that two adjacent vertices are mapped at least a unit distance apart. The plane-width of a graph is th...
Marcin Kaminski, Paul Medvedev, Martin Milanic
IPL
2008
169views more  IPL 2008»
13 years 9 months ago
Oriented colorings of partial 2-trees
A homomorphism from an oriented graph G to an oriented graph H is an arc-preserving mapping f from V(G) to V(H), that is f(x)f(y) is an arc in H whenever xy is an arc in G. The or...
Pascal Ochem, Alexandre Pinlou